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FACULTY OF SCIENCES

DEPARTMENT OF PHYSICS

B.Sc. (Hons.) Physics

w.e.f. Session 2017-2018

YMCA UNIVERSITY OF SCIENCE AND TECHNOLOGY

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YMCA UNIVERSITY OF SCIENCE AND TECHNOLOGY

VISION

YMCA University of Science and Technology aspires to be a nationally and internationally

acclaimed leader in technical and higher education in all spheres which transforms the life of

students through integration of teaching, research and character building.

MISSION

• To contribute to the development of science and technology by synthesizing teaching, research

and creative activities.

• To provide an enviable research environment and state-of-the art technological exposure to its

Scholars.

• To develop human potential to its fullest extent and make them emerge as world class leaders in

their professions and enthuse them towards their social responsibilities

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HUMANITIES AND SCIENCES DEPARTMENT

VISION

A department that can effectively harness its multidisciplinary strengths to create an academically

stimulating atmosphere; evolving into a well-integrated system that synergizes the efforts of its

competent faculty towards imparting intellectual confidence that aids comprehension and

complements the spirit of inquiry.

MISSION

• To create well-rounded individuals ready to comprehend scientific and technical challenges

offered in the area of specialization.

• To counsel the students so that the roadmap becomes clearer to them and they have the zest to

turn the blueprint of their careers into a material reality.

• To encourage critical thinking and develop their research acumen by aiding the nascent spirit

for scientific exploration.

• Help them take economic, social, legal and political considerations when visualizing the role of

technology in improving quality of life.

• To infuse intellectual audacity that makes them take bold initiatives to venture into alternative

methods and modes to achieve technological breakthroughs.

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B.Sc. (Hons.) Physics

Physics is the most fundamental of the sciences. New concepts, such as Quantum Mechanics and

Relativity, are introduced at degree level in order to understand nature at the deepest level.

These theories have profound philosophical implications because they challenge our view of the

everyday world. At the same time they have a huge impact on society since they underpin the

technological revolution. While studying one of the most intellectually satisfying disciplines, you

will acquire transferable skills including numeracy, problem solving, an ability to reason clearly

and communicate well. Core physics topics include: Newtonian Dynamics, Wave Phenomena, The

Material Universe, Working with Physics, Practical Physics and Maths for Physics,

Electromagnetism, Condensed Matter, Quantum and Atomic Physics and Nuclear and Particle

Physics.

A wide range of options is available including Medical Physics, Astronomy, Statistical and Low

Temperature Physics and Surface Physics. You will also take Mathematics, Computing and

Experimental Physics modules in support of these studies. The programme includes a one-semester

project in one of the research groups.

PROGRAM OBJECTIVES

• Producing graduates who are well grounded in the fundamentals of Physics and acquisition

of the necessary skills, in order to use their knowledge in Physics in a wide range of

practical application.

• Developing creative thinking and the power of imagination to enable graduates work in

research in academia and industry for broader application.

• Accommodating their relevant fields in allied disciplines and to allow the graduates of

Physics to fit into the inter-disciplinary environment.

• Relating the training of Physics graduates to the employment opportunities within the

country.

It also promotes research and creative activities of students by providing exposure to the realm of

physical science and technical expertise. The B.Sc. (Hons.) programme in physics is designed to

provide a thorough basic knowledge in physics at the under graduate level. Apart from the general

topics in physics, many of the new topics included in the syllabus keeps the students abreast with

the latest developments taking place in the field. Also the experiments chosen for each practical

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course is such that they bring out the concept of application of the theory in a practical situation. It

also helps in creative thinking and self-learning.

PROGRAM OUTCOMES

After completion of the program, the students will:

• have a strong foundation of pure and applied Physics by means of various theoretical and

laboratory work.

• Provide a systematic understanding of core physical concepts, principles and theories along

with their applications.

• To visualize and analyze various real life problems using Physics.

• To develop analytical & soft skills, reasoning & quantitative aptitude.

• Apart from Physics as a major subject, students will have the basic knowledge of

communication & environmental sciences.

• The students will be able to learn computer Science/Mathematics/Chemistry/Electronics as

an elective subject.

• To develop a career in the field of Research & Development, Banking, Industry, Defence &

Civil Services etc.

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YMCA UNIVERSITY OF SCIENCE AND TECHNOLOGY, FARIDABAD

DEPARTMENT OF HUMANITIES AND SCIENCES

STRUCTURE AND SYLLABI OF B.Sc. (Hons.) PHYSICS (6 SEMESTER COURSE)

SEMESTER - I

Subject

Code

Title L T P Internal

Assessment End-

semester

Examinati

on

Total Credits Category

Code

Discipline Core Course (DCC) – Compulsory

BPH 101 Mathematical

Physics-I

4 0 0 25 75 100 4 DCC

BPH 102 Mechanics 4 0 0 25 75 100 4 DCC

BPH 103 Mathematical

Physics-I Lab

0 0 4 15 35 50 2 DCC

BPH 104 Mechanics Lab 0 0 4 15 35 50 2 DCC

Ability Enhancement Compulsory Course (AECC) – Compulsory

BENG 101 English 2 0 0 25 75 100 2 AEC

Open Elective Course (OEC-I) - Select 1-paper & respective Lab (if any) of the following 4-disciplines

OMTH 101 Calculus 5 1 0 25 75 100 6 OEC

OELC 101 Electronic circuit

& PCB Designing

4 0 0 25 75 100 4 OEC

OCSC 101 Introduction to

Programming

4 0 0 25 75 100 4 OEC

OCHE 101 Inorganic

Chemistry

4 0 0 25 75 100 4 OEC

OELC 102 Electronic circuit

& PCB Designing

Lab

0 0 4 15 35 50 2 OEC

OCSC 102 Introduction to

Programming Lab

0 0 4 15 35 50 2 OEC

OCHE 102 Inorganic

Chemistry Lab

0 0 4 15 35 50 2 OEC

Massive Open Elective Course (MOOC)*- Online Compulsory Course in any one semester from Sem-I to Sem-V

XXX MOOC 4/6 0 0 25 75 100 4/6 MOOC

Total Credits

20

*The students have to pass at least one mandatory MOOC course with 4-6 credits (12-16 weeks) from the

list given on the Swayam portal or the list given by the department/ university from 1st semester to 3rd

semester as notified by the university. (Instructions to students overleaf)

L – Lecture; T - Tutorial; P - Practical

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SEMESTER - II

Subject

Code

Title L T P Internal

Assessmen

t

End-

semester

Examinati

on

Total Credits Category

Code

Discipline Core Course (DCC) – Compulsory

BPH 201 Electricity &

Magnetism

4 0 0 25 75 100 4 DCC

BPH 202 Waves & Optics 4 0 0 25 75 100 4 DCC

BPH 203 Electricity &

Magnetism Lab

0 0 4 15 35 50 2 DCC

BPH 204 Waves & Optics Lab 0 0 4 15 35 50 2 DCC

Ability Enhancement Compulsory Course (AECC) – Compulsory

BEVS 101 Environmental

Science

2 0 0 25 75 100 2 AEC

Open Elective Course (OEC-2) - Select 1- paper & respective Lab(if any) of the following 4-disciplines

OMTH 201 Linear Algebra 5 1 0 25 75 100 6 OEC

OELC 201 Instrumentation 4 0 0 25 75 100 4 OEC

OCSC 201 Introduction to

Database System

4 0 0 25 75 100 4 OEC

OCHE 201 Physical Chemistry 4 0 0 25 75 100 4 OEC

OELC 202 Instrumentation Lab 0 0 4 15 35 50 2 OEC

OCSC 202 Introduction to

Database System

Lab

0 0 4 15 35 50 2 OEC

OCHE 202 Physical Chemistry

Lab

0 0 4 15 35 50 2 OEC

Massive Open Elective Course (MOOC) – Online Compulsory Course in any one semester from Sem-I to Sem-V

XXX MOOC 4/6 0 0 25 75 100 4/6 MOOC

Mandatory Audit Course (MAC)

XXX Audit Course 2 0 0 25 75 100 0 AUD

Total Credits

20

# As per the list provided by University site

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SEMESTER - III

Subject

Code

Title L T P Internal

Assessment End-semester

Examination

Total Credits Category

Code

Discipline Core Course (DCC) – Compulsory

BPH 301 Mathematical

Physics-II

4 0 0 25 75 100 4 DCC

BPH 302 Thermal Physics 4 0 0 25 75 100 4 DCC

BPH 303 Analog Systems &

Applications

4 0 0 25 75 100 4 DCC

BPH 304 Mathematical

Physics-II Lab

0 0 4 15 35 50 2 DCC

BPH 305 Thermal Physics Lab 0 0 4 15 35 50 2 DCC

BPH 306 Analog Systems &

Applications Lab

0 0 4 15 35 50 2 DCC

Skill Enhancement Course (SEC) – Select 1-paper and respective lab out of the following

SECP 01 Computational Physics

Skills

2 0 0 25 75 100 2 SEC

SECP 02 Electrical Circuits &

Network Skills

2 0 0 25 75 100 2 SEC

SECP 03 Basic Instrumentation

Skills

2 0 0 25 75 100 2 SEC

SECP 04 Computational Physics

Skills Lab

0 0 2 15 35 50 0 SEC

SECP 05 Electrical Circuits &

Network Skills Lab

0 0 2 15 35 50 0 SEC

SECP 06 Basic Instrumentation

Skills Lab

0 0 2 15 35 50 0 SEC

Open Elective Course (OEC-3) – Select 1- paper & respective Lab(if any) of the following 4-disciplines

OMTH 301 Differential Equations 5 1 0 25 75 100 6 OEC

OELC 301 Communication

Systems

4 0 0 25 75 100 4 OEC

OCSC 301 Computer Networks &

Internet Technology

4 0 0 25 75 100 4 OEC

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OCHE 301 Organic Chemistry 4 0 0 25 75 100 4 OEC

OELC 302 Communication

Systems Lab

0 0 4 15 35 50 2 OEC

OCSC 302 Computer Networks &

Internet Technology

Lab

0 0 4 15 35 50 2 OEC

OCHE 302 Organic Chemistry

Lab

0 0 4 15 35 50 2 OEC

Massive Open Elective Course (MOOC) – Online Compulsory Course in any one semester from Sem-I to Sem-V

XXX MOOC 4/

6

0 0 25 75 100 4/6 MOOC

Total Credits

26

10

SEMESTER - IV

Subject

Code

Title L T P Internal

Assessment End-

semester

Examinati

on

Total Credits Category

Code

Discipline Core Course (DCC) – Compulsory

BPH 401 Mathematical

Physics-III

4 0 0 25 75 100 4 DCC

BPH 402 Elements of Modern

Physics

4 0 0 25 75 100 4 DCC

BPH 403 Digital Systems &

Applications

4 0 0 25 75 100 4 DCC

BPH 404 Mathematical

Physics-III Lab

0 0 4 15 35 50 2 DCC

BPH 405 Elements of Modern

Physics Lab

0 0 4 15 35 50 2 DCC

BPH 406 Digital Systems &

Applications Lab

0 0 4 15 35 50 2 DCC

Skill Enhancement Course (SEC) – Select 1-paper and respective Lab out of the following (not opted in Sem-III)

SECP 01 Computational

Physics Skills

2 0 0 25 75 100 2 AEEC

SECP 02 Electrical Circuits &

Network Skills

2 0 0 25 75 100 2 AEEC

SECP 03 Basic

Instrumentation

Skills

2 0 0 25 75 100 2 AEEC

SECP 04 Computational

Physics Skills Lab

0 0 2 15 35 50 0 SEC

SECP 05 Electrical Circuits &

Network Skills Lab

0 0 2 15 35 50 0 SEC

SECP 06 Basic

Instrumentation

Skills Lab

0 0 2 15 35 50 0 SEC

Open Elective Course (OEC-3) – Select 1- paper & respective Lab (if any) of the following 4-disciplines

OMTH 401 Numerical

Methods

5 1 0 25 75 100 6 OEC

OELC 401 Microprocessor &

Microcontroller

Systems

4 0 0 25 75 100 4 OEC

OCSC 401 Information

Security

4 0 0 25 75 100 4 OEC

OCHE 401 Spectroscopy 4 0 0 25 75 100 4 OEC

OELC 402 Microprocessor & 0 0 4 15 35 50 2 OEC

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Microcontroller

Systems Lab

OCSC 402 Information

Security Lab

0 0 4 15 35 50 2 OEC

OCHE 402 Spectroscopy Lab 0 0 4 15 35 50 2 OEC

Massive Open Elective Course (MOOC) – Online Compulsory Course in any one semester from Sem-I to Sem-V

XXX MOOC 4/6 0 0 25 75 100 4/6 MOOC

Total Credits

26

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SEMESTER - V

Subject

Code

Title L T P Internal

Assessment End-

semester

Examinati

on

Total Credits Category

Code

Discipline Core Course (DCC) – Compulsory

BPH 501 Quantum

Mechanics &

Applications

4 0 0 25 75 100 4 DCC

BPH 502 Solid State

Physics

4 0 0 25 75 100 4 DCC

BPH 503 Quantum

Mechanics &

Applications Lab

0 0 4 15 35 50 2 DCC

BPH 504 Solid State

Physics Lab

0 0 4 15 35 50 2 DCC

Discipline Elective Course (DEC) select any 2-papers & respective labs (if any) out of the following 3-papers

DECP 501 Atomic &

Molecular Physics

5 1 0 25 75 100 6 DEC

DECP 502 Experimental

Techniques

4 0 0 25 75 100 4 DEC

DECP 503 Linear Algebra &

Tensor Analysis

5 1 0 25 75 100 6 DEC

DECP 504 Experimental

Techniques Lab

0 0 4 15 35 50 2 DEC

DECP 505 Biological &

Medical Physics

5 1 0 25 75 100 6 DEC

Massive Open Elective Course (MOOC) – Online Compulsory Course in any one semester from Sem-I to Sem-V

XXX MOOC 4/6 0 0 25 75 100 4/6 MOOC

Total Credits

24

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SEMESTER - VI

Subject

Code

Title L T P Internal

Assessment End-

semester

Examinati

on

Total Credits Category

Code

Discipline Core Course (DCC) – Compulsory 2-Papers

BPH 601 Electromagnetic

Theory

4 0 0 25 75 100 4 DCC

BPH 602 Statistical

Mechanics

4 0 0 25 75 100 4 DCC

BPH 603 Electromagnetic

Theory Lab

0 0 4 15 35 50 2 DCC

BPH 604 Statistical

Mechanics Lab

0 0 4 15 35 50 2 DCC

Discipline Elective Course (DEC) – Select any 2-papers & respective lab (if any) out of the following 3-papers

DECP 601 Nuclear &

Particle Physics

5 1 0 25 75 100 6 DEC

DECP 602 Nano Materials &

Applications

4 0 0 25 75 100 4 DEC

DECP 603 Physics of

Devices &

Communication

4 0 0 25 75 100 6 DEC

DECP 604 Nano Materials &

Applications Lab

0 0 4 15 35 50 2 DEC

DECP 605 Physics of

Devices &

Communication

Lab

0 0 4 15 35 50 2 DEC

DECP 606 Classical

Dynamics

5 1 0 25 75 100 6 DEC

Total Credits

24

Grand Total Credits: 144/146 [140 + 4/6 (for MOOC Course)]

NOTE: 1. Discipline Elective Course (DEC) papers may be added or deleted as per UGC guidelines.

2. Skill Enhancement Course (SEC) papers may be added or deleted as per UGC guidelines.

Instructions to the students regarding MOOC

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1. Two types of courses will be circulated: branch specific and general courses from the website https://swayam.gov.in in the month of June and November every year for the forthcoming semester.

2. The department coordinators will be the course coordinators of their respective departments.

3. Every student has to pass a selected MOOC course within the duration as specified below:

Programme Duration

B. Tech. Sem. I to Sem. VII

M.Sc./M.Tech./MA/MBA Sem. I to Sem. III

B.Sc./MCA Sem. I to Sem. V

The passing of a MOOC course is mandatory for the fulfilment of the award of the degree of concerned

programme.

4. A student has to register for the course for which he is interested and eligible which is approved by the department with the help of course coordinator of the concerned department.

5. A student may register in the MOOC course of any programme. However, a UG student will register only in UG MOOC courses and a PG student will register in only PG MOOC courses.

6. The students must read all the instructions for the selected course on the website, get updated with all key dates of the concerned course and must inform his/her progress to their course coordinator.

7. The student has to pass the exam (online or pen-paper mode as the case may be) with at least 25% marks.

8. The students should note that there will be a weightage of Assessment/quiz etc. and final examination appropriately as mentioned in the instructions for a particular course.

9. A student must claim the credits earned in the MOOC course in his/her marksheet in the examination branch by forwarding his/her application through course coordinator and chairperson.

https://swayam.gov.in/

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Syllabus of B.Sc. (H) Physics

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Semester I

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Discipline Core Course (DCC)

B.Sc. (H) Physics Sem-I

Paper: Mathematical Physics

Paper Code: BPH-101

No. of Credits: 4 Sessional: 25

L: 4, T: 0 Theory Exam: 75

Theory: 60 Lectures Total: 100

COURSE OBJECTIVE

The emphasis of course is on applications in solving problems of interest to physicists. The students are to be

examined entirely on the basis of problems based on mathematical physics, seen and unseen.

Calculus:

Plotting of functions. Approximation: Taylor and binomial series (statements only). First Order

differential. Equations exact and inexact differential equations and Integrating Factor.

(6 Lectures)

Second Order Differential equations: Homogeneous Equations with constant coefficients.

Wronskian and general solution. Particular Integral with operator method, method of undetermined

coefficients and variation method of parameters. (15 Lectures)

Vector Algebra: Properties of vectors. Scalar product and vector product, Scalar triple product and

their interpretation in terms of area and volume respectively. Scalar and Vector fields.

(6 Lectures)

Vector Calculus:

Vector Differentiation: Directional derivatives and normal derivative. Gradient of a scalar field and

its geometrical interpretation. Divergence and curl of a vector field. Del and Laplacian operators.

Vector identities. (10 Lectures)

Vector Integration: Ordinary Integrals of Vectors. Multiple integrals, Jacobian. Notion of

infinitesimal line, surface and volume elements. Line, surface and volume integrals of Vector fields.

Flux of a vector field. Gauss' divergence theorem, Green's and Stokes Theorems and their

verification (no rigorous proofs). (14 Lectures)

Orthogonal Curvilinear Coordinates:

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Orthogonal Curvilinear Coordinates. Derivation of Gradient, Divergence, Curl and Laplacian in

Cartesian, Spherical and Cylindrical Coordinate Systems. (7 Lectures)

Dirac Delta function:

Definition of Dirac delta function and simple examples. (2 Lectures)

Course Outcomes: After the completion of the course, students will be able to,

• Learn basic ideas of calculus

• Solve vector algebra and vector calculus problems

• Implementation of vector integration for solution of many Physics problems.

• Understand various coordinate systems and Dirac delta functions

Reference Books:

• Mathematical Methods for Physicists, G.B.Arfken, H.J.Weber, F.E.Harris,1513, 7th Edn.,

Elsevier.

• An introduction to ordinary differential equations, E.A. Coddington, 1509, PHI learning

• Differential Equations, George F. Simmons, 1507, McGraw Hill.

• Advanced Engineering Mathematics, D.G. Zill and W.S.Wright, 5 Ed., 1512, Jones and Bartlett

Learning

• Mathematical Physics, Goswami, 1st edition, Cengage Learning

• Engineering Mathematics, S.Pal and S.C. Bhunia, 1515, Oxford University Press

• Advanced Engineering Mathematics, Erwin Kreyszig, 1508, Wiley India.

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B.Sc. (H) Physics Sem-I

Paper: Mathematical Physics –I Lab

Paper Code: BPH-103

No. of Credits: 2 Internal: 15

L: 0, T: 0, P: 4 External Exam: 35

60 Periods Total: 50

COURSE OBJECTIVES: The aim of this Lab is not just to teach computer programming and

numerical analysis but to emphasize its role in solving problems in Physics.

• Highlights the use of computational methods to solve physics problems

• The course will consist of lectures(both theory and practical) in the Lab

• Evaluation done not on the programming but on the basis of formulating the problem

• Students can use any one operating system Linux or Microsoft Windows

• At least two programs must be attempted from each programming section.

Topics Descriptions with Applications

Errors and error Analysis Truncation and round-off errors, Absolute and relative

errors, Floating point computations

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Review of C++

Programming

fundamentals

Introduction to Programming, constants, variables and

data types, operators and Expressions, I/O statements,

cin and cout , Decision making and looping statements (

if-statement, if-else statement, nested if statement, else-if

statement, ternary operator, goto statement, switch

statement, unconditional and conditional looping, while

and do while loop, for loop, nested loops, break and

continue statements). Arrays (1D and 2D) and strings,

user defined functions,

Programs: using C++ language Sum and average of a list of numbers, largest of a

given list of numbers and its location in the list, sorting

of numbers in ascending descending order, Binary

search

Random number generation Area of circle, area of square, volume of sphere, value

of pi

Solution of Algebraic and

Transcendental equations by

Bisection, Newton Raphson

and Secant methods

Solution of linear and quadratic equation, solving

α = tan α ; I = Io (sin α/α)2 in optics,

Interpolation by Newton

Gregory Forward and Backward

difference formula, Error

estimation of linear

interpolation

Evaluation of trigonometric functions e.g. sin , cos ,

tan etc

Numerical differentiation

(Forward and Backward

difference formula) and

Integration (Trapezoidal and

Simpson rules), Monte Carlo

Method

Given Position with equidistant time data calculate

velocity and acceleration and vice versa. Find the area

of BH Hysteresis loop

Solution of Ordinary

Differential Equations (ODE)

First order Differential equation

Euler, modified Euler and

Runge-Kutta (RK) second and

fourth order methods

First order differential equation

• Radioactive decay

• Current in RC, LC circuits with DC source

• Newton’s law of cooling

• Classical equations of motion Attempt following problems using RK 4 order method:

• Solve the coupled differential equations dx/dt = y + x - x3/3 ; dy/dx = - x

for four initial conditions x(0) = 0, y(0) = -1, -2, -3, -4.

Plot x vs y for each of the four initial conditions on the

same screen for 0 ≤ t ≤ 15.

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Referred Books:

• Introduction to Numerical Analysis, S.S. Sastry, 5th Edn., 1512, PHI Learning Pvt. Ltd.

• Schaum's Outline of Programming with C++. J.Hubbard, 1500 , McGraw‐Hill Pub.

• Numerical Recipes in C++: The Art of Scientific Computing, W.H. Press et.al., 2nd Edn., 1513, Cambridge University Press.

• An introduction to Numerical methods in C++, Brian H. Flowers, 1509, Oxford University Press.

• A first course in Numerical Methods, U.M. Ascher & C. Greif, 1512, PHI Learning.

• Elementary Numerical Analysis, K.E. Atkinson,3 r d E d n . , 2 0 0 7 , Wiley India Edition.

• Computational Physics, Darren Walker, 1st Edn., 1515, Scientific International Pvt. Ltd. ----------------------------------------------------------------------------------------------------------

B.Sc. (H) Physics Sem-I

Paper: Mechanics

Paper Code: BPH-102

No. of Credits: 4 Sessional: 25

L: 4, T: 0 Theory Exam: 75

Theory: 60 Lectures Total: 100

COURSE OBJECTIVE

The emphasis of course is to understand laws of mechanics and their applications in various physical

systems.

Fundamentals of Dynamics: Reference frames. Inertial frames, Review of Newton’s

Laws of Motion. Galilean transformations. Galilean invariance. Momentum of variable-

mass system: motion of rocket. Motion of a projectile in uniform gravitational field.

Dynamics of a system of particles. Centre of Mass. Principle of conservation of

momentum. Impulse. (7 Lectures)

Work and Energy: Work and Kinetic Energy Theorem. Conservative and non-

conservative forces. Potential Energy. Energy diagram. Stable and unstable equilibrium.

Elastic potential energy. Force as gradient of potential energy. Work & Potential energy.

Work done by non-conservative forces. Law of conservation of Energy. (5 Lectures)

Collisions: Elastic and inelastic collisions between particles. Centre of Mass and

Laboratory frames.(4 Lectures)

Rotational Dynamics: Angular momentum of a particle and system of particles. Torque.

Principle of conservation of angular momentum. Rotation about a fixed axis. Moment of

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Inertia. Calculation of moment of inertia for rectangular, cylindrical and spherical bodies.

Kinetic energy of rotation. Motion involving both translation and rotation.

(12 Lectures)

Elasticity: Review of relation between Elastic constants. Twisting torque on a Cylinder or

Wire (only qualitative discussion). (2 Lectures)

Gravitation: Law of gravitation. Gravitational potential energy. Inertial & gravitational

mass. Potential and field due to spherical shell and solid sphere. (3 Lectures)

Central force Motion: Motion of a particle under a central force field. Two-body problem

and its reduction to one-body problem and its solution. The energy equation and energy

diagram. Kepler’s Laws. Satellite in circular orbit & applications, weightlessness and basic

idea of Global Positioning System (GPS). (6 Lectures)

Oscillations: Review of SHM (Simple Harmonic Oscillations. Differential equation of SHM and

its solution. Kinetic energy, potential energy, total energy and their time - average values).

Damped oscillation. Forced oscillations: Transient and steady states; Resonance, sharpness of

resonance; power dissipation and Quality Factor. (7 Lectures)

Non-Inertial Systems: Non-inertial frames and fictitious forces. Uniformly rotating frame.

Laws of Physics in rotating coordinate systems. Centrifugal force. Coriolis force and its

applications. (4 Lectures)

Special Theory of Relativity: Michelson-Morley Experiment and its outcome. Postulates

of Special Theory of Relativity. Lorentz Transformations. Simultaneity and order of

events. Lorentz contraction. Time dilation. Relativistic transformation of velocity,

frequency and wave number. Relativistic addition of velocities. Variation of mass with

velocity. Massless Particles. Mass-energy Equivalence. Relativistic Doppler effect.

Relativistic Kinematics. Transformation of Energy & Momentum. (10 Lectures)

Course Outcomes: After the completion of the course, students will be able to,

• Learn fundamentals of Mechanics.

• Have a deep understanding of rotational dynamics & elasticity

• Understand the laws of gravitation and central force motion.

• Have a knowledge of how length, mass and time are relative to the velocity of an event.

Reference Books:

• An introduction to mechanics, D. Kleppner, R.J. Kolenkow, 1973, McGraw-Hill.

• Mechanics, Berkeley Physics, vol.1, C. Kittel, W. Knight, et.al. 1507, Tata McGraw-Hill.

• Physics, Resnick, Halliday and Walker 8/e. 1508, Wiley.

• Analytical Mechanics, G.R. Fowles and G.L. Cassiday. 1505, Cengage Learning.

• Feynman Lectures, Vol.I, R.P.Feynman, R.B.Leighton, M.Sands, 1508, Pearson Education

• Mechanics, D.S. Mathur, S.Chand and Company Limited, 1500.

• Theoretical Mechanics, M.R. Spiegel, 1506, Tata McGraw Hill. -----------------------------------------------------------------------------------------------------------

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B.Sc. (H) Physics Sem-I

Paper: Mechanics Lab

Paper Code: BPH-104

No. of Credits: 2 Internal: 15

L: 0, T: 0, P: 4 External Exam: 35

60 Periods Total: 50

Select at least 06 experiments from the following

1. To study the random error in observations.

2. To determine the height of a building using a Sextant.

3. To study the Motion of Spring and calculate (a) Spring constant, (b) g and (c) Modulus

of rigidity.

4. To determine the Moment of Inertia of a Flywheel.

5. To determine g and velocity for a freely falling body using Digital Timing Technique

6. To determine the Young's Modulus of a Wire by Optical Lever Method.

7. To determine the Modulus of Rigidity of a Wire by Maxwell’s needle.

8. To determine the elastic Constants of a wire by Searle’s method.

9. To determine the value of g using Bar Pendulum.

10. To determine the value of g using Kater’s Pendulum

Reference Books

• Advanced Practical Physics for students, B. L. Flint and H.T. Worsnop, 1971, Asia Publishing House

• Advanced level Physics Practicals, Michael Nelson and Jon M. Ogborn, 4th

Edition, reprinted 1985, Heinemann Educational Publishers

• A Text Book of Practical Physics, I.Prakash & Ramakrishna, 11th

Edn, 1511,Kitab Mahal

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Ability Enhancement Compulsory Course (AECC)

Semester- I

Paper: English

Paper Code: BENG-101

No. of Credits: 2 Sessional: 25

L: 2, T: 0, P: 0 Theory Exam: 75

Total: 100

Course Objectives:

1. To discuss communication process and elements of communication with the help of popular

models.

2. To discuss types of communication.

3. To improve spoken English and ability to articulate ideas.

4. To improve comprehension

5. To improve formal writing skills.

Unit 1: Introduction: Theory of Communication, Types and modes of Communication

Unit 2: Language of Communication: Verbal and Non-verbal (Spoken and Written) Personal,

Social and Business Barriers and Strategies Intra-personal, Inter-personal and Group

communication

Unit 3: Speaking Skills: Monologue Dialogue Group Discussion Effective Communication/ Mis-

Communication Interview Public Speech

Unit 4: Reading and Understanding Close Reading Comprehension Summary Paraphrasing

Analysis and Interpretation Translation(from Indian language to English and vice-versa)

Literary/Knowledge Texts

Unit 5: Writing Skills Documenting Report Writing Making notes Letter writing.

Course outcome:

After completion of course students would be able:

1.To learn about communication process and ways to make communication effective by giving

attention to all elements involved.

2. To understand the value of verbal communication as well as non- verbal aspects of

communication in making inter personnel communication effective and intrapersonnel

communication insightful.

22

3.To gain confidence by enhancing their abilities to articulate their ideas.

4. To able to scan, skim and revise documents for fruitful reading and comprehension.

5. To acquire better writing skills in formal communication.

Recommended References Readings:

1.. Fluency in English - Part II, Oxford University Press, 2006.

2. Business English, Pearson, 2008.

3. Language, Literature and Creativity, Orient Blackswan, 2013.

4. Language through Literature (forthcoming) ed. Dr. Gauri Mishra, Dr Ranjana Kaul, Dr Brati

Biswas

23

Open Elective Courses (OEC) Semester-I

Open Elective Mathematics Paper: CALCULUS

Paper Code: OMTH-101 NO. OF CREDITS: 6

SESSIONAL: 25

L T THEORY EXAM: 75

5 1 TOTAL: 100

NOTE: Question paper has two parts. Part-1 has 10 questions each of 2 marks. It covers the entire

syllabus. Attempt any four questions out of six from Part-2.

COURSE OBJECTIVES

To gain knowledge about differential calculus, curvature, asymptotes, partial differentiation,

maxima-minima of functions of two variables, applications of single integral, double and triple

integral.

UNIT I

Definition of limit, Continuity, types of discontinuity, Differentiability, Successive differentiation,

Leibnitz’s Theorem and applications, Taylor’s & Maclaurin’s Series for one variable, Asymptotes,

Curvature, Radius of Curvature for Cartesian, Parametric and Polar-curves, Radius of curvature at

the Origin (by using Newton‟s method, by method of Expansion), Centre of curvature, Curve

Tracing.

UNIT II

Functions of two or more variables, Partial derivatives of first and higher order, Total differential

and differentiability, Euler’s theorem for Homogeneous functions, Derivatives of Composite and

Implicit functions, Jacobians, Taylor’s series for functions of two variables, Maxima-Minima of

functions of two variables. Lagrange’s Method of undetermined multipliers, Differentiation under

the integral sign (Leibnitz rule).

UNIT III

Applications of Single integration to find volume of solids and surface area of solids by revolution,

Double integral, Change of Order of Integration, Double integral in Polar co-ordinates,

Applications of double integral to find (i) Area enclosed by plane curves (ii) Volume of solids of

revolution.

UNIT IV

Triple Integral, Change of variables, Volume of solids, Beta & Gamma functions and relation

between them.

24

COURSE OUTCOMES

• Acquire knowledge about differential calculus

• Acquire knowledge about partial differentiation and maxima-minima of functions of two

variables

• Acquire knowledge about integral calculus: application of single integral, double integral

and applications

• Acquire knowledge about triple integral and beta and gamma functions

BOOKS RECOMMENDED

• Shanti Narayan, Differential Calculus, S Chand Publisher

• Shanti Narayan, Integral Calculus, S Chand Publisher

• G.B. Thomas and R.L. Finney, Calculus, Pearson Education, 11/e (2012)

• H. Anton, I. Bivens and S. Davis, Calculus, John Willey and Sons Inc, 7/e (2011)

Semester--I

Open Elective Electronics Paper: Electronic Circuits and PCB Designing

Paper CODE: OELC-101

Credits: Theory-04 SESSIONAL: 25

L T THEORY EXAM: 75

4 0 TOTAL: 100

COURSE OBJECTIVES

To gain knowledge about fundamentals of analog Electronics for its applications in various

electronic devices.

Unit-1 (12 Lectures)

Network theorems (DC analysis only): Review of Ohms law, Kirchhoff‘s laws, voltage divider

and current divider theorems, open and short circuits.

Thevenin‘s theorem, Norton‘s theorem and interconversion, superposition theorem, maximum

power transfer theorem.

Unit 2 (13 Lectures)

Semiconductor Diode and its applications: PN junction diode and characteristics, ideal diode

and diode approximations. Block diagram of a Regulated Power Supply, Rectifiers: HWR, FWR-

center tapped and bridge FWRs. Circuit diagrams, working and waveforms, ripple factor &

efficiency(no derivations).Filters: circuit diagram and explanation of shunt capacitor filter with

waveforms.

25

Zener diode regulator: circuit diagram and explanation for load and line regulation,

disadvantages of Zener diode regulator.

Unit-3 (17 Lectures)

BJT and Small Signal amplifier: Bipolar Junction Transistor: Construction, principle &

working of NPN transistor, terminology. Configuration: CE, CB, CC. Definition of α, β and γ and

their interrelations, leakage currents. Study of CE Characteristics, Hybrid parameters.

Transistor biasing: need for biasing, DC load line, operating point, thermal runaway, stability and

stability factor.

Voltage divider bias: circuit diagrams and their working, Q point expressions for voltage divider

biasing.

Small signal CE amplifier: circuit, working, frequency response, re model for CE configuration,

derivation for Av, Zin and Zout.

Unit-4 (18 Lectures)

Types of PCB: Single sided board, double sided, Multilayer boards, Plated through holes

technology, Benefits of Surface Mount Technology (SMT), Limitation of SMT, Surface mount

components: Resistors, Capacitor, Inductor, Diode and IC‘s.

Layout and Artwork: Layout Planning: General rules of Layout, Resistance, Capacitance and

Inductance, Conductor Spacing, Supply and Ground Conductors, Component Placing and

mounting, Cooling requirement and package density, Layout check.

Basic artwork approaches, Artwork taping guidelines, General artwork rules: Artwork check and

Inspection.

Laminates and Photoprinting: Properties of laminates, Types of Laminates, Manual cleaning

process, Basic printing process for double sided PCB‘s, Photo resists, wet film resists, Coating

process for wet film resists, Exposure and further process for wet film resists, Dry film resists

Etching and Soldering: Introduction, Etching machine, Etchant system. Principles of Solder

connection, Solder joints, Solder alloys, Soldering fluxes. Soldering, Desoldering tools and

Techniques.

COURSE OUTCOMES

After the completion of the course, students will be able to

• Acquire knowledge about Network theorems.

• Learn about Semiconductor Diode and its applications

• Know the working of BJT and Small Signal amplifier

• Understand the fabrication and circuit designing on PCB

26

Suggested Books:

1. Electronic Devices and circuit theory, Robert Boylstead and Louis Nashelsky, 9th Edition, 2013, PHI

2. Electronics text lab manual, Paul B. Zbar.

3. Electric circuits, Joeseph Edminister, Schaum series.

4. Basic Electronics and Linear circuits, N.N. Bhargava, D.C. Kulshresta and D.C Gupta -TMH.

5. Electronic devices, David A Bell, Reston Publishing Company/DB Tarapurwala Publ. 6. Walter C.Bosshart ―PCB DESIGN AND TECHNOLOGY‖ Tata McGraw Hill

Publications, Delhi. 1983

7. Clyde F.Coombs ―Printed circuits Handbook‖ III Edition, McGraw Hill.

Semester-I

Paper: Electronic Circuits and PCB Designing Lab

Paper Code: OELC-102 Credits: 2

Internal Exam: 15

L P T External Exam: 35

0 4 0 TOTAL: 50

COURSE OBJECTIVES

Electronic Circuits and PCB Designing Lab (Hardware and Circuit Simulation

Software)

1. Verification of Thevenin‘s theorem 2. Verification of Super position theorem 3. Verification of Maximum power transfer theorem. 4. Half wave Rectifier – without and with shunt capacitance filter. 5. Centre tapped full wave rectifier – without and with shunt capacitance filter. 6. Zener diode as voltage regulator – load regulation. 7. Transistor characteristics in CE mode – determination of ri, ro and β. 8. Design and study of voltage divider biasing. 9. Designing of an CE based amplifier of given gain 10. Designing of PCB using artwork, its fabrication and testing. 11. Design, fabrication and testing of a 9 V power supply with zener regulator

27

Semester-I

Open Elective Chemistry Paper: Inorganic Chemistry

Paper Code: OCHE-101

Credits: 02

SESSIONAL: 25

L T THEORY EXAM: 75

4 0 TOTAL: 100

Course Objectives: To learn and understand the basic concepts of inorganic chemistry and its role

in biological systems.

Unit I

Atomic Structure: Review of: Bohr’s theory and its limitations, Heisenberg Uncertainty

principle.

Dual behaviour of matter and radiation, de-Broglie’s relation.Hydrogen atom spectra. Need of a

new approach to Atomic structure.

What is Quantum mechanics? Time independent Schrodinger equation and meaning of various

terms in it. Significance of ψ and ψ2, Schrödinger equation for hydrogen atom. Radial and

angular parts of the hydogenicwavefunctions (atomic orbitals) and theirvariations for

1s, 2s, 2p, 3s, 3p and 3d orbitals (Only graphical representation). Radial and angular nodes

and their significance. Radial distribution functions and the concept of the most probable

distance with special reference to 1s and 2s atomic orbitals. Significance of quantum

numbers, orbital angular momentum and quantum numbers ml and ms. Shapes of s, p and d

atomic orbitals, nodal planes. Discovery of spin, spin quantum number (s) and magnetic spin

quantum number(ms).

Rules for filling electrons in various orbitals, Electronic configurations of the atoms.Stability of

half-filled and completely filled orbitals, concept of exchange energy. Relative energies of

atomic orbitals, Anomalous electronic configurations.

Unit II

Chemical Bonding and Molecular Structure

Ionic Bonding: General characteristics of ionic bonding. Energy considerations in ionic

bonding, lattice energy and solvation energy and their importance in the context of stability and

solubility of ionic compounds. Statement of Born-Landé equation for calculation of lattice

energy (no derivation), Born-Haber cycle and its applications, polarizing power and

polarizability. Fajan’s rules, ionic character in covalent compounds, bond moment, dipole

moment and percentage ioniccharacter.

28

Covalent bonding: VB Approach: Shapes of some inorganic molecules and ions on the basis of VSEPR (H2O, NH3, PCl5, SF6, ClF3, SF4) and hybridization with suitable examples of linear,

trigonal planar, square planar, tetrahedral, trigonalbipyramidal and octahedral arrangements.

Concept of resonance and resonating structures in various inorganic and organic compounds. MO

Approach: Rules for the LCAO method, bonding and antibonding MOs and their

characteristics for s-s, s-p and p-p combinations of atomic orbitals, nonbonding combination

of orbitals, MO treatment of homonuclear diatomic molecules of 1st and 2nd periods

(including idea of s-p mixing) and heteronuclear diatomic molecules such as CO, NO and

NO+

.

Unit III

Organometallic Compounds

Definition and Classification with appropriate examples based on nature of metal-carbon

bond (ionic, s, p and multicentre bonds). Structures of methyl lithium, Zeise’ssalt

andferrocene. EAN rule as applied to carbonyls. Preparation, structure, bonding and properties

of mononuclear and polynuclear carbonyls of 3d metals. p-acceptor behaviour of carbon

monoxide. Synergic effects (VB approach)- (MO diagram of CO can be referred to for synergic

effect to IRfrequencies).

Unit IV

Bio-Inorganic Chemistry

A brief introduction to bio-inorganic chemistry. Role of metal ions present in biological systems with special reference to Na+, K+ and Mg+2 ions: Na/K pump; Role of Mg+2 ions in energy production and chlorophyll. Role of iron in oxygen transport, haemoglobin, myoglobin, storage and transport of iron.

Course Outcomes:

After the successful completion of the course the learner would be able to

i. Understand the basic concept of atomic structure. ii. Understand the chemical bonding concept. iii. Understand the bonding and structure in organometallic compounds. iv. Understand the role of inorganic chemistry in biological systems.

Reference Books:

J. D. Lee: A new Concise Inorganic Chemistry, E L. B. S.17

F. A. Cotton & G. Wilkinson: Basic Inorganic Chemistry, John Wiley.

Douglas, McDaniel and Alexader: Concepts and Models in Inorganic Chemistry, John Wiley.

James E. Huheey, Ellen Keiter and Richard Keiter: Inorganic Chemistry: Principles of

Structure and Reactivity, Pearson Publication.

29

Semester-I

Open Elective Computer Science Paper: INTRODUCTION TO PROGRAMMING

Paper Code: OCSE-101

Credits: 04

SESSIONAL: 25

L T THEORY EXAM: 75

4 0 TOTAL: 100

Theory: 60 lectures

Course Objectives

1. Be able to explain the difference between object oriented programming and procedural programming.

2. To familiarize students with the features of C language including data-types, variables, Operators ,Functions and Arrays.

3. Be able to program using more advanced C++ features such as composition of objects, operator overloading, dynamic memory allocation, inheritance and polymorphism, file I/O,

exception handling, templates etc. 4. Be able to apply object oriented techniques to solve bigger Real World Computing

problems.

Introduction to C and C++ 5L

History of C and C++, Overview of Procedural Programming and Object-Orientation

Programming, Using main() function, Compiling and Executing Simple Programs in C++.

Data Types, Variables, Constants, Operators and Basic I/O 10L

Declaring, Defining and Initializing Variables, Scope of Variables, Using Named Constants,

Keywords, Data Types, Casting of Data Types, Operators (Arithmetic, Logical and Bitwise),

Using Comments in programs, Character I/O (getc, getchar, putc, putcharetc), Formatted and

Console I/O (printf(), scanf(), cin, cout), Using Basic Header Files (stdio.h, iostream.h,

conio.hetc).

Expressions, Conditional Statements and Iterative Statements 10L

Simple Expressions in C++ (including Unary Operator Expressions, Binary Operator

Expressions), Understanding Operators Precedence in Expressions, Conditional Statements (if

construct, switch-case construct), Understanding syntax and utility of Iterative Statements

(while, do-while, and for loops), Use of break and continue in Loops, Using Nested Statements

(Conditional as well as Iterative)

Functions and Arrays 10L

30

Utility of functions, Call by Value, Call by Reference, Functions returning value, Void

functions, Inline Functions, Return data type of functions, Functions parameters,

Differentiating between Declaration and Definition of Functions, Command Line

Arguments/Parameters in Functions, Functions with variable number of Arguments.

Creating and Using One Dimensional Arrays ( Declaring and Defining an Array, Initializing an

Array, Accessing individual elements in an Array, Manipulating array elements using loops),

Use Various types of arrays (integer, float and character arrays / Strings) Two- dimensional

Arrays (Declaring, Defining and Initializing Two Dimensional Array, Working with Rows and

Columns), Introduction to Multi-dimensional arrays

Derived Data Types (Structures and Unions) 5L

Understanding utility of structures and unions, Declaring, initializing and using simple

structures and unions, Manipulating individual members of structures and unions, Array of

Structures, Individual data members as structures, Passing and returning structures from

functions, Structure with union as members, Union with structures as members.

File I/O, Preprocessor Directives 8L

Opening and closing a file (use of fstream header file, ifstream, ofstream and fstream classes),

Reading and writing Text Files, Using put(), get(), read() and write() functions, Random access in

files, Understanding the Preprocessor Directives (#include, #define, #error,

#if, #else, #elif, #endif, #ifdef, #ifndef and #undef), Macros

Using Classes in C++ 8L

Principles of Object-Oriented Programming, Defining & Using Classes, Class Constructors,

Constructor Overloading, Function overloading in classes, Class Variables &Functions, Objects

as parameters, Specifying the Protected and Private Access, Copy Constructors, Overview of

Template classes and their use.

Inheritance and Polymorphism 4L

Introduction to Inheritance and Polymorphism

Course Outcomes

After the completion of the course, students will be able to

a. Differentiate between Procedure-Oriented programming and Object-Oriented programming.

b. Understand the syntax of the language.

31

c. Understand and apply various object oriented features like inheritance, data abstraction,

encapsulation and polymorphism to solve various computing problems using C++ language.

d. Apply object oriented concepts in real world programs

Reference Books:

1. Herbtz Schildt, "C++: The Complete Reference", Fourth Edition, McGraw Hill.

2. E Balaguruswamy, "Object Oriented Programming with C++", Tata McGraw-Hill

Education, 2008.

3. Paul Deitel, Harvey Deitel, "C++ How to Program", 8th

Edition, Prentice Hall, 2011.

4. John R. Hubbard, "Programming with C++", Schaum's Series, 2nd Edition, 2000.

Semester-I

Paper: INTRODUCTION TO PROGRAMMING LAB

Paper Code: OCSE-102 Credits: 2

Internal : 15

L P T External Exam: 35

0 4 0 TOTAL: 50

Introduction to Programming Lab

Practical: 60 lectures

1. Write a program to find greatest of three numbers.

2. Write a program to find gross salary of a person

3. Write a program to find grade of a student given his marks.

4. Write a program to find divisor or factorial of a given number.

5. Write a program to print first ten natural numbers.

6. Write a program to print first ten even and odd numbers.

7. Write a program to find grade of a list of students given their marks.

8. Create Matrix class. Write a menu-driven program to perform following Matrix

operations (2-D array implementation):

a) Sum b) Difference c) Product d) Transpose

32

Syllabus of B.Sc. (H) Physics

------------------------------------------------------

Semester II

------------------------------------------------------

Discipline Core Course (DCC)

B.Sc. (H) Physics Sem-II

Paper: ELECTRICITY AND MAGNETISM

Paper Code: BPH-201

No. of Credits: 4 Sessional: 25

L: 4, T: 0 Theory Exam: 75

Theory: 60 Lectures Total: 100

COURSE OBJECTIVE

The objective of the course is to have an understanding the electricity and magnetism which later on

makes the foundation of electromagnetic theory.

Electric Field and Electric Potential

Electric flux. Gauss’ Law with applications to charge distributions with spherical,

cylindrical and planar symmetry. Conservative nature of Electrostatic Field. Electrostatic

Potential. Laplace’s and Poisson equations. The Uniqueness Theorem. Potential and

Electric Field of a dipole. Force and Torque on a dipole. (7 Lectures)

Electrostatic energy of system of charges. Electrostatic energy of a charged sphere.

Conductors in an electrostatic Field. Surface charge and force on a conductor. Capacitance

of a system of charged conductors. Parallel-plate capacitor. Capacitance of an isolated

conductor. Method of Images and its application to: (1) Plane Infinite Sheet and (2)

Sphere. ( 9 Lectures)

Dielectric Properties of Matter: Electric Field in matter. Polarization, Polarization

Charges. Electrical Susceptibility and Dielectric Constant. Capacitor (parallel plate,

spherical, cylindrical) filled with dielectric. Displacement vector D. Relations between E,

P and D. Gauss’ Law in dielectrics. (9 Lectures)

33

Magnetic Field: Ampere’s Circuital Law and its application to (1) Solenoid and (2)

Toroid. Properties of B: curl and divergence. Vector Potential. Magnetic Force on (1)

point charge (2) current carrying wire (3) between current elements. Torque on a current

loop in a uniform Magnetic Field. (8 Lectures)

Magnetic Properties of Matter: Magnetization vector (M). Magnetic Intensity(H).

Magnetic Susceptibility and permeability. Relation between B, H, M. Ferromagnetism. B-

H curve and hysteresis. (4 Lectures)

Electromagnetic Induction: Faraday’s Law. Lenz’s Law. Self Inductance and Mutual

Inductance. Reciprocity Theorem. Energy stored in a Magnetic Field. Introduction to

Maxwell’s Equations. Charge Conservation and Displacement current. (6 Lectures)

Electrical Circuits: AC Circuits: Kirchhoff’s laws for AC circuits. Complex Reactance

and Impedance. Series LCR Circuit: (1) Resonance, (2) Power Dissipation and (3) Quality

Factor, and (4) Band Width. Parallel LCR Circuit. (7 Lectures)

Network theorems: Ideal constant-voltage and constant-current Sources. Review of

Kirchhoff’s Current Law & Kirchhoff’s Voltage Law. Mesh & Node Analysis. Thevenin

theorem, Norton theorem, Superposition theorem, Reciprocity Theorem, Maximum Power

Transfer theorem. Applications to dc circuits.\(10 Lectures)

Course Outcomes: After the completion of the course, students will be able to,

• Know the basic concepts of electric field and potential

• Understand of dielectric behavior of matter

• Learn the laws of magnetism and electromagnetic induction.

• Have a deep understanding of electrical circuits and network theorems.

Reference Books:

• Electricity, Magnetism & Electromagnetic Theory, S.Mahajan and Choudhury, 1512, Tata McGraw

• Electricity and Magnetism, Edward M. Purcell, 1986 McGraw-Hill Education

• Introduction to Electrodynamics, D.J. Griffiths, 3rd Edn., 1998, Benjamin Cummings.

• Feynman Lectures Vol.2, R.P.Feynman, R.B.Leighton, M.Sands, 1508, Pearson Education

• Electricity and Magnetism, J.H.Fewkes & J.Yarwood. Vol.I, 1991, Oxford Univ. Press. ----------------------------------------------------------------------------------------------------------

34

B.Sc. (H) Physics Sem-II

Paper: ELECTRICITY AND MAGNETISM Lab

Paper Code: BPH-203

No. of Credits: 2 Internal : 15

L: 0, P: 4, T: 0 External Exam: 35

60 Periods Total: 50

At least 6 experiments from the following

1. To study the characteristics of a series RC Circuit.

2. To determine an unknown Low Resistance using Potentiometer.

3. To determine an unknown Low Resistance using Carey Foster’s Bridge.

4. To compare capacitances using De’Sauty’s bridge.

5. Measurement of field strength B and its variation in a solenoid (determine dB/dx)

6. To verify the Thevenin and Norton theorems.

7. To verify the Superposition, and Maximum power transfer theorems.

8. To determine self inductance of a coil by Anderson’s bridge.

9. To study response curve of a Series LCR circuit and determine its (a) Resonant

frequency, (b) Impedance at resonance, (c) Quality factor Q, and (d) Band width.

10. To study the response curve of a parallel LCR circuit and determine its (a) Anti-

resonant frequency and (b) Quality factor Q.

11. Measurement of charge sensitivity, current sensitivity and CDR of Ballistic

Galvanometer

12. Determine a high resistance by leakage method using Ballistic Galvanometer.

13. To determine self-inductance of a coil by Rayleigh’s method.

14. To determine the mutual inductance of two coils by Absolute method.

Reference Books

• Advanced Practical Physics for students, B.L. Flint and H.T. Worsnop, 1971, Asia Publishing House

• A Text Book of Practical Physics, I.Prakash &Ramakrishna, 11th

Ed., 1511,Kitab Mahal

• Advanced level Physics Practicals, Michael Nelson and Jon M. Ogborn, 4th

Edition, reprinted 1985, Heinemann Educational Publishers

• Engineering Practical Physics, S.Panigrahi and B.Mallick, 1515, Cengage Learning.

-----------------------------------------------------------------------------------------------------------

35

B.Sc. (H) Physics Sem-II

Paper: Waves & Optics

Paper Code: BPH-202

No. of Credits: 4 Sessional: 25

L: 4, T: 0 Theory Exam: 75

Theory: 60 Lectures Total: 100

COURSE OBJECTIVE The objective of the course is to have an understanding the of waves and optics which later on makes the foundation of

spectroscopy.

Superposition of Collinear Harmonic oscillations: Simple harmonic motion (SHM).

Linearity and Superposition Principle. Superposition of two collinear oscillations having

(1) equal frequencies and (2) different frequencies (Beats).Superposition of N collinear

Harmonic Oscillations with (1) equal phase differences and (2) equal frequency differences.

(6 Lectures)

Superposition of two perpendicular Harmonic Oscillations: Graphical and Analytical

Methods. Lissajous Figures with equal and unequal frequencies and their uses. (2 Lectures)

Wave Motion: Plane and Spherical Waves. Longitudinal and Transverse Waves. Plane

Progressive (Travelling) Waves. Wave Equation. Particle and Wave Velocities. Pressure of a

Longitudinal Wave. Energy Transport. Intensity of Wave. (4 Lectures)

Superposition of Two Harmonic Waves: Standing (Stationary) Waves in a String: Fixed and

Free Ends. Analytical Treatment. Phase and Group Velocities. Changes with respect to

Position and Time. Energy of Vibrating String. Transfer of Energy. Normal Modes of

Stretched Strings. Longitudinal Standing Waves and Normal Modes. (8 Lectures)

Interference: : Definition and properties of wave front. Huygens Principle. Temporal and Spatial

Coherence. Division of amplitude and wavefront. Young’s double slit experiment. Lloyd’s Mirror

and Fresnel’s Biprism. Phase change on reflection: Stokes’ treatment.

Interference in Thin Films: parallel and wedge-shaped films. Fringes of equal inclination

(Haidinger Fringes); Fringes of equal thickness (Fizeau Fringes). Newton’s Rings: Measurement

of wavelength and refractive index. (14 Lectures)

Interferometer: Michelson Interferometer-(1) Idea of form of fringes (No theory required), (2)

Determination of Wavelength, (3) Wavelength Difference, (4) Refractive Index, and (5) Visibility

of Fringes. Fabry-Perot interferometer. (6 Lectures)

Fraunhofer diffraction: Single slit. Rectangular and Circular aperture, Resolving Power of a

telescope. Double slit. Multiple slits. Diffraction grating. Resolving power of grating. (10

Lectures)

36

Fresnel Diffraction: Fresnel’s Assumptions. Fresnel’s Half-Period Zones for Plane Wave.

Explanation of Rectilinear Propagation of Light. Theory of a Zone Plate: Multiple Foci of a Zone

Plate. Fresnel’s Integral, Cornu`s spiral and its applications. Straight edge, a slit and a wire.

(10 Lectures)

Course Outcomes: After the completion of the course, students will be able to,

• Understand the superposition of linear and perpendicular oscillations.

• Learn the basics of wave motion and SHM.

• Analyze interference phenomena in various systems.

• Know the phenomenon of Diffraction of light in various systems.

Reference Books

• Waves: Berkeley Physics Course, vol. 3, Francis Crawford, 1507, Tata McGraw-Hill.

• Fundamentals of Optics, F.A. Jenkins and H.E. White, 1981, McGraw-Hill

• Principles of Optics, Max Born and Emil Wolf, 7th Edn., 1999, Pergamon Press.

• Optics, Ajoy Ghatak, 1508, Tata McGraw Hill

• The Physics of Vibrations and Waves, H. J. Pain, 1513, John Wiley and Sons.

• The Physics of Waves and Oscillations, N.K. Bajaj, 1998, Tata McGraw Hill. • Fundamental of Optics, A. Kumar, H.R. Gulati and D.R. Khanna, 1511, R. Chand

Publications

-----------------------------------------------------------------------------------------------------------

B.Sc. (H) Physics Sem-II

Paper: Waves & Optics Lab

Paper Code: BPH-204

No. of Credits: 2 Internal: 15

L: 0, T: 0, P: 4 External Exam: 35

60 Periods Total: 50

At least 6 experiments from the following

1. To determine the frequency of an electric tuning fork by Melde’s experiment and verify

λ2

–T law.

2. To investigate the motion of coupled oscillators.

3. To study Lissajous Figures.

4. Familiarization with: Schuster`s focusing; determination of angle of prism.

5. To determine refractive index of the Material of a prism using sodium source.

37

6. To determine the dispersive power and Cauchy constants of the material of a prism using

mercury source.

7. To determine the wavelength of sodium source using Michelson’s interferometer.

8. To determine wavelength of sodium light using Fresnel’s Biprism.

9. To determine wavelength of sodium light using Newton’s Rings.

10. To determine the thickness of a thin paper by measuring the width of the

interference fringes produced by a wedge-shaped Film.

11. To determine wavelength of (1) Na source and (2) spectral lines of Hg source

using plane diffraction grating.

12. To determine dispersive power and resolving power of a plane diffraction grating.

Reference Books

• Advanced Practical Physics for students, B.L. Flint and H.T. Worsnop, 1971, Asia Publishing House

• A Text Book of Practical Physics, I.Prakash & Ramakrishna, 11th

Ed., 1511,Kitab Mahal

• Advanced level Physics Practicals, Michael Nelson and Jon M. Ogborn, 4th

Edition, reprinted 1985, Heinemann Educational Publishers

• A Laboratory Manual of Physics for undergraduate classes, D.P.Khandelwal,1985, Vani Pub.

-----------------------------------------------------------------------------------------------------------

38

Ability Enhancement Compulsory Course (AECC)

Semester- II

Environmental Science

Paper Code: BEVS- 101

No. of Credits: 2 Internal: 25

L: 2, T: 0, P: 0 External Exam: 75

Total: 100

Unit 1 : Introduction to environmental studies

• Multidisciplinary nature of environmental studies; • Scope and importance; Concept of sustainability and sustainable development.

Unit 2 : Ecosystems

• What is an ecosystem? Structure and function of ecosystem; Energy flow in an ecosystem: food chains, food webs and ecological succession. Case studies of the following

ecosystems : a) Forest ecosystem b) Grassland ecosystem c) Desert ecosystem d) Aquatic ecosystems (ponds, streams, lakes, rivers, oceans, estuaries)

Unit 3 : Natural Resources : Renewable and Non-renewable Resources

• Land resources and landuse change; Land degradation, soil erosion and desertification. • Deforestation: Causes and impacts due to mining, dam building on environment,

forests, biodiversity and tribal populations. • Water : Use and over-exploitation of surface and ground water, floods, droughts,

conflicts over water (international & inter-state). • Energy resources : Renewable and non renewable energy sources, use of alternate

energy sources, growing energy needs, case studies. Unit 4 : Biodiversity and Conservation

• Levels of biological diversity : genetic, species and ecosystem diversity; Biogeographic zones of India; Biodiversity patterns and global biodiversity hot spots

• India as a mega-biodiversity nation; Endangered and endemic species of India • Threats to biodiversity : Habitat loss, poaching of wildlife, man-wildlife conflicts,

biological invasions; Conservation of biodiversity : In-situ and Ex-situ conservation of

biodiversity. • Ecosystem and biodiversity services: Ecological, economic, social, ethical, aesthetic

and Informational value. Unit 5 : Environmental Pollution

• Environmental pollution : types, causes, effects and controls; Air, water, soil and noise pollution

• Nuclear hazards and human health risks

39

• Solid waste management : Control measures of urban and industrial waste. • Pollution case studies.

Unit 6 : Environmental Policies & Practices

• Climate change, global warming, ozone layer depletion, acid rain and impacts on human communities and agriculture

• Environment Laws: Environment Protection Act; Air (Prevention & Control of Pollution) Act; Water (Prevention and control of Pollution) Act; Wildlife Protection Act; Forest

Conservation Act. International agreements: Montreal and Kyoto protocols and

Convention on Biological Diversity (CBD). • Nature reserves, tribal populations and rights, and human wildlife conflicts in Indian

context. Unit 7 : Human Communities and the Environment

• Human population growth: Impacts on environment, human health and welfare. • Resettlement and rehabilitation of project affected persons; case studies. • Disaster management : floods, earthquake, cyclones and landslides. • Environmental movements : Chipko, Silent valley, Bishnois of Rajasthan. • Environmental ethics: Role of Indian and other religions and cultures in

environmental conservation. • Environmental communication and public awareness, case studies (e.g., CNG

vehicles in Delhi). Unit 8 : Field work

• Visit to an area to document environmental assets: river/ forest/ flora/fauna, etc. • Visit to a local polluted site-Urban/Rural/Industrial/Agricultural. • Study of common plants, insects, birds and basic principles of identification.

Reference Books

1. Odum, E.P., Odum, H.T. & Andrews, J. 1971. Fundamentals of Ecology. Philadelphia:

Saunders.

2. Pepper, I.L., Gerba, C.P. & Brusseau, M.L. 2011. Environmental and Pollution Science. Academic Press.

3. Rao, M.N. & Datta, A.K. 1987. Waste Water Treatment. Oxford and IBH Publishing Co. Pvt. Ltd.

4. Sengupta, R. 2003. Ecology and economics: An approach to sustainable development. OUP. 5. Singh, J.S., Singh, S.P. and Gupta, S.R. 2014. Ecology, Environmental Science and

Conservation. S. Chand Publishing, New Delhi. 6. Sodhi, N.S., Gibson, L. & Raven, P.H. (eds). 2013. Conservation Biology: Voices from

the Tropics. John Wiley & Sons.

40

Open Elective Courses (OEC)

Semester-II

Open Elective Mathematics

Paper: Linear Algebra

CODE: OMTH 201

SESSIONAL: 25

L T THEORY EXAM: 75

5 1 TOTAL: 100

Total: 60 periods

COURSE OBJECTIVES

The aim of the course is to familiarize students with the concept of a Linear Transformation and its

algebraic properties and the manipulative techniques necessary to use matrices and

determinants in solving applied problems. This course in linear algebra serves as a bridge from the

typical intuitive treatment of calculus to more rigorous courses such as abstract algebra and

analysis.

UNIT-I

Fundamental operation with vectors in Euclidean space Rn, Linear combination of vectors, Dot

product and their properties, Cauchy-Schwarz inequality, Triangle inequality, Projection of vectors,

Some elementary results on vector in Rn, Matrices, Echelon matrices, Row canonical form , Row

equivalence, Rank, Linear combination of vectors, Row space, Eigenvalues, Eigenvectors,

Eigenspace, Characteristic polynomials.

UNIT-II

Diagonalization of matrices. Definition and examples of vector space, Some elementary properties

of vector spaces, Subspace, Span of a set, A spanning set for an eigenspace, Linear independence

and linear dependence of vectors, Maximal linearly independent sets, Minimal spanning sets, Basis

and dimension of a vector space.

UNIT-III

Application of rank, Homogenous and non homogenous systems of equations, Coordinates of a

vector in ordered basis, Transition matrix .

Linear transformations: Definition and examples, Elementary properties, The matrix of a linear

transformation, Linear operator and Similarity, Kernel and range of a linear transformation.

UNIT-IV

Dimension theorem, Oneto one and onto linear transformations, Invertible linear transformations.

Isomorphism: Isomorphic vector spaces (to Rn ), Orthogonal and orthonormal vectors, Orthogonal

and orthonormal bases, Orthogonal complement, Projection theorem (Statement only), Orthogonal

projection onto a subspace.

41

COURSE OUTCOMES

After successful completion of the course students should be able to :

• Gauss–Jordan row reduction, Reduced row echelon form .

• Locate and use information to solve problems of linear transformations and vector spaces;

• Describe the concept of linear independence, linear transformation anddeterminants;

• Find eigenvalues and eigen vectors and Diagonalization of matrices.

• How to find Orthogonal and orthonormal bases .

Books Recommended:

[1] S. Andrilli and D. Hecker, Elementary Linear Algebra, Academic Press, 4/e (2012)

[2] B. Kolman and D.R. Hill, Introductory Linear Algebra with Applications, Pearson Education,

7/e (2003)

Semester-II

Open Elective Computer Science

Paper: Introduction to Database System

Paper Code: OCSC 201

Lecture 04, Tutorial :0 Internal Assessment: 25

Credit: 4 End-semester Examination: 75

Total Lectures: 60 Total: 100

Course Objectives:

1. The students will be able to understand basic terminology used in database systems, basic concepts, the applications of database systems and understand role of Database

administrator in DBMS.

2. The students will be able to understand various data model like Hierarchical model, Network Model, Relational model, E-R model and will be able to make E-R diagram

from data given by user and table from E-R diagram.

3. The students will be familiar with relational database theory and be able to write relational algebra expressions for query.

4. The students will be able to understand the logical design guidelines for databases, normalization approach, primary key, super key, foreign key concepts

Database: Introduction to database, relational data model, DBMS architecture, data

independence, DBA, database users, end users, front end tools

E-R Modeling: Entity types, entity set, attribute and key, relationships, relation types, E- R

diagrams, database design using ER diagrams

Relational Data Model: Relational model concepts, relational constraints, primary and

foreign key, normalization: 1NF, 2NF, 3NF

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Structured Query Language: SQL queries, create a database table, create relationships

between database tables, modify and manage tables, queries, forms,

reports, modify, filter and view data.

Course Outcomes

The Student will be able

1. To understand the basic concepts, applications and architecture of database systems.

2. To master the basics of ER diagram.

3. To understand relational database algebra expressions and construct queries using SQL.

4. To understand sound design principles for logical design of databases, normalization.

Reference Books for Introduction to Database System

5. Fundamentals of Database Systems by R. Elmasri and S.B. Navathe, 3rd edition, 2000, Addision-Wesley, Low Priced Edition.

6. An Introduction to Database Systems by C.J. Date, 7th edition, Addison-Wesley, Low Priced Edition, 2000.

7. Database Management and Design by G.W. Hansen and J.V. Hansen, 2nd edition, 1999, Prentice-Hall of India, Eastern Economy Edition.

8. Database Management Systems by A.K. Majumdar and P. Bhattacharyya, 5th edition, 1999, Tata McGraw-Hill Publishing.

9. A Guide to the SQL Standard, Date, C. and Darwen,H. 3rd edition, Reading, MA: 1994, Addison-Wesley.

10. Data Management & file Structure by Loomis, 1989, PHI 11. P. Rob, C. Coronel, Database System Concepts by, Cengage Learning India, 2008

Semester-II

Subject: Introduction to Database System Lab

Subject Code: OCSC 202

L:0, T:0, P:4 Internal Assessment: 15

Credit: 2 End-semester Examination: 35

Total: 50

1) Create a database having two tables with the specified fields, to computerize a library

system of a Delhi University College.

LibraryBooks (Accession number, Title, Author, Department, PurchaseDate, Price)

IssuedBooks (Accession number, Borrower)

a) Identify primary and foreign keys. Create the tables and insert at least 5 records in

each table.

43

b) Delete the record of book titled “Database System Concepts”.

c) Change the Department of the book titled “Discrete Maths” to “CS”.

d) List all books that belong to “CS” department.

e) List all books that belong to “CS” department and are written by author “Navathe”.

f) List all computer (Department=”CS”) that have been issued.

g) List all books which have a price less than 500 or purchased between “01/01/1999”

and “01/01/2004”.

2) Create a database having three tables to store the details of students of Computer Department

in your college.

Personal information about Student (College roll number, Name of student, Date of

birth, Address, Marks(rounded off to whole number) in percentage at 10 + 2, Phone

number)

Paper Details (Paper code, Name of the Paper)

Student’s Academic and Attendance details (College roll number, Paper code,

Attendance, Marks in home examination).

a) Identify primary and foreign keys. Create the tables and insert at least 5 records in each table.

b) Design a query that will return the records (from the second table) along with the

name of student from the first table, related to students who have more than 75%

attendance and more than 60% marks in paper 2.

c) List all students who live in “Delhi” and have marks greater than 60 in paper1. d)

Find the total attendance and total marks obtained by each student.

e) List the name of student who has got the highest marks in paper2

3) Create the following tables and answer the queries given below:

Customer (CustID, email, Name, Phone, ReferrerID)

Bicycle (BicycleID, DatePurchased, Color, CustID, ModelNo)

BicycleModel (ModelNo, Manufacturer, Style)

Service (StartDate, BicycleID, EndDate)

44

a) Identify primary and foreign keys. Create the tables and insert at least 5 records in each table.

b) List all the customers who have the bicycles manufactured by manufacturer “Honda”. c)

List the bicycles purchased by the customers who have been referred by customer “C1”.

d)List the manufacturer of red colored bicycles.

e)List the models of the bicycles given for service.

4) Create the following tables, enter at least 5 records in each table and answer the queries

given below.

EMPLOYEE ( Person_Name, Street, City )

WORKS ( Person_Name, Company_Name, Salary )

COMPANY ( Company_Name, City )

MANAGES ( Person_Name, Manager_Name )

a)Identify primary and foreign keys.

b)Alter table employee, add a column “email” of type varchar(20).

c)Find the name of all managers who work for both Samba Bank and NCB Bank.

d) Find the names, street address and cities of residence and salary of all employees who

work for “Samba Bank” and earn more than $10,000.

e) Find the names of all employees who live in the same city as the company for which they

work.

f) Find the highest salary, lowest salary and average salary paid by each company.

g) Find the sum of salary and number of employees in each company.h)

Find the name of the company that pays highest salary.

5) Create the following tables, enter at least 5 records in each table and answer the queries given

below.

Suppliers (SNo, Sname, Status, SCity) Parts

(PNo, Pname, Colour, Weight, City) Project

(JNo, Jname, Jcity)

Shipment (Sno, Pno, Jno, Qunatity)

a) Identify primary and foreign keys.

45

b) Get supplier numbers for suppliers in Paris with status>20.

c) Get suppliers details for suppliers who supply part P2. Display the supplier list in

increasing order of supplier numbers.

d) Get suppliers names for suppliers who do not supply part P2.

e) For each shipment get full shipment details, including total shipment weights. f)

Get all the shipments where the quantity is in the range 300 to 750 inclusive.

g) Get part nos. for parts that either weigh more than 16 pounds or are supplied by

suppliers S2, or both.

h) Get the names of cities that store more than five red parts.

i) Get full details of parts supplied by a supplier in London.

j) Get part numbers for part supplied by a supplier in London to a project in London. k)

Get the total number of project supplied by a supplier (say, S1).

l) Get the total quantity of a part (say, P1) supplied by a supplier (say, S1)

Semester-II

Open Elective Chemistry

Paper: Physical Chemistry

Paper Code: OCHE 201

L-04 T-00 Internal Assessment: 25

Credit: 4 End-semester Examination: 75

Theory: 60 periods Total Marks: 100

Course Objectives: To learn and understand the elements of physical chemistry and physical

phenomenon.

Unit I

Chemical Energetics

Review of thermodynamics and the Laws of Thermodynamics.

Important principles and definitions of thermochemistry.Concept of standard state and standard

enthalpies of formations, integral and differential enthalpies of solution and dilution.Calculation

of bond energy, bond dissociation energy and resonance energy from thermochemical

46

data.Variation of enthalpy of a reaction with temperature – Kirchhoff’s equation.Statement of

Third Law of thermodynamics and calculation of absolute entropies of substances.

Unit I.

Chemical Equilibrim:

Free energy change in a chemical reaction.Thermodynamic derivation of the law of chemical

equilibrium.Distinction betweenG and Go, Le Chatelier’s principle. Relationships

betweenKp, Kcand Kxfor reactions involving ideal gases.

Ionic Equilibria:

Strong, moderate and weak electrolytes, degree of ionization, factors affecting degree of

ionization, ionization constant and ionic product of water. Ionization of weak acids and bases, pH

scale, common ion effect. Salt hydrolysis-calculation of hydrolysis constant, degree of hydrolysis

and pH for different salts.Buffer solutions.Solubility and solubility product of sparingly soluble

salts – applications of solubility product principle.

Unit III

Solutions

Thermodynamics of ideal solutions: Ideal solutions and Raoult’s law, deviations from Raoult’s

law – non-ideal solutions. Vapour pressure-composition and temperature- composition curves of

ideal and non-ideal solutions. Distillation of solutions.Lever rule.Azeotropes.Partial miscibility

of liquids: Critical solution temperature; effect of impurity on partial miscibility of liquids.

Immiscibility of liquids- Principle of steam distillation.Nernst distribution law and its

applications, solvent extraction.

Phase Equilibrium

Phases, components and degrees of freedom of a system, criteria of phase equilibrium.Gibbs

Phase Rule and its thermodynamic derivation. Derivation of Clausius – Clapeyron equation and

its importance in phase equilibria. Phase diagrams of one-componentsystems (water and sulphur)

and two component systems involving eutectics, congruent and incongruent melting points

(lead- silver, FeCl3-H2O and Na-Konly).

Unit IV

Electrochemistry

Reversible and irreversible cells.Concept of EMF of a cell.Measurement of EMF of a cell.Nernst

equation and its importance.Types of electrodes.Standard electrode potential.Electrochemical

series. Thermodynamics of a reversible cell, calculation of thermodynamic

properties: G, H and S from EMFdata.Calculation of equilibrium constant from EMF data.

Concentration cells with transference and without transference. Liquid junction potential and salt

bridge.pH determination using hydrogen electrode and quinhydrone electrode.Potentiometric

titrations -qualitative treatment (acid-base and oxidation-reduction only).

Course Outcomes:

47

After the successful completion of the course the learner would be able to

I. Understand the basic concept chemical thermodynamics

II. Understand chemical ionic equilibrium

III. Understand phase equilibrium

IV. Understand electrochemistry.

Reference Books

G. M. Barrow: Physical Chemistry Tata McGraw Hill (2007).

G. W. Castellan: Physical Chemistry 4th Edn. Narosa (2004).

J. C. Kotz, P. M. Treichel& J. R. Townsend: General Chemistry CengageLening India Pvt. Ltd.,

New Delhi (2009).

B. H. Mahan: University Chemistry 3rd Ed. Narosa (1998).

R. H. Petrucci: General Chemistry 5th Ed. Macmillan Publishing Co.: New York (1985).

48

Syllabus of B.Sc. (H) Physics

------------------------------------------------------

Semester III

------------------------------------------------------

Discipline Core Course (DCC)

B.Sc.(H) Physics Sem-III

Paper: Mathematical Physics-II

Paper Code: BPH-301

No. of Credits: 4 Sessional: 25

L: 4, T: 0 Theory Exam: 75

Theory: 60 Lectures Total: 100

Course objectives:

The emphasis of the course is on applications in solving problems of interest to physicists. Students

are to be examined on the basis of problems, seen and unseen.

Fourier Series: Periodic functions. Orthogonality of sine and cosine functions, Dirichlet

Conditions (Statement only). Expansion of periodic functions in a series of sine and cosine

functions and determination of Fourier coefficients. Even and odd functions and their Fourier

expansions. Application. Summing of Infinite Series. Term-by-Term differentiation and integration

of Fourier Series. Parseval Identity. (15 Lectures)

Power Series (Frobenius) Method and Special Functions: Singular Points of Second Order

Linear Differential Equations and their importance. Frobenius method and its applications to

differential equations. Legendre, Bessel, Hermite and Laguerre Differential E